Finding the Fourth Proportional to 9,294.84, 12,823.23 and 5,313.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.84 : 12,823.23 = 5,313.82 : x
2. Step 2: Convert to fraction form
   9,294.84/12,823.23 = 5,313.82/x
3. Step 3: Cross multiply
   9,294.84x = 12,823.23 × 5,313.82
4. Step 4: Simplify right side
   9,294.84x = 68,140,336.04
5. Step 5: Solve for x
   x = 68,140,336.04/9,294.84
6. Step 6: Final answer
   x = 7,330.99